Chapter 7: Problem 11
"If a firm has diminishing returns to labor over some range of output, it cannot have economies of scale over that range." True or false? Explain briefly.
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Chapter 7: Problem 11
"If a firm has diminishing returns to labor over some range of output, it cannot have economies of scale over that range." True or false? Explain briefly.
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In mid-2009, the Obama administration announced it would cancel orders for a new fleet of presidential helicopters. About \(\$ 3\) billion had already been spent on developing the helicopters, which had special protective and telecommunications features. But another \(\$ 8\) billion would have been needed to complete the project and deliver the fleet. The administration suggested it might look for a less expensive design and start from scratch. Some media commentators criticized the decision, arguing that cancelling the project would mean wasting the \(\$ 3\) billion already spent. a. Suppose that starting from scratch on a new proposal that would be just as good as the original would cost a total of \(\$ 5\) billion from beginning to end. Which would be the wiser choice sticking with the original or starting from scratch? Why? b. Would your answer change if the new proposal would cost a total of \(\$ 10\) billion? Why or why not?
Down On Our Luck Studios has spent \(\$ 100\) million producing an awful film, \(A\) Depressing Story About a Miserable Person. If the studio releases the film, the most cost-effective marketing plan would cost an additional \(\$ 5\) million, bringing the total amount spent to \(\$ 105\) million. Box office sales under this plan are predicted to be \(\$ 12\) million, which would be split evenly between the theaters and the studio. Additional studio revenue from video and DVD sales would be about \(\$ 2\) million. Should the studio release the film? If no, briefly explain why not. If yes, explain how it could make sense to release a film that cost \(\$ 105\) million but earns only \(\$ 12\) million.
In a recent year, a long, hard winter gave rise to stronger-than-normal demand for heating oil. The following summer was characterized by strong demand for gasoline by vacationers. Show what these two events might have done to the short-run \(M C, A V C\), and \(A T C\) curves of Continental Airlines. (Hint: How would these events affect the price of oil?)
The following table gives the short-run and long-run total costs for various levels of output of Consolidated National Acme, Inc.: $$\begin{array}{ccc}Q & T C_{1} & T C_{2} \\\\\hline 0 & 0 & 350 \\\1 & 300 & 400 \\\2 & 400 & 435 \\\3 & 465 & 465 \\\4 & 495 & 505 \\\5 & 540 & 560 \\\6 & 600 & 635 \\\7 & 700 & 735\end{array}$$ a. Which column, \(T C_{1}\) or \(T C_{2},\) gives long-run total cost, and which gives short-run total cost? How do you know? b. For each level of output, find short-run \(T F C\) \(T V C, A F C, A V C,\) and \(M C\) c. At what output level would the firm's short-run and long-run input mixes be the same? d. Starting from producing two units, Consolidated's managers decide to double production to four units. So they simply double all of their inputs in the long run. Comment on their managerial skills. e. Over what range of output do you see economies of scale? Diseconomies of scale? Constant returns to scale?
The following table shows total output (in tax returns completed per day) of the accounting firm of Hoodwink and Finagle: $$\begin{array}{cc}\text { Number of } & \text { Number of Returns } \\\\\text { Accountants } & \text { per Day } \\\\\hline 0 & 0 \\\1 & 5 \\\2 & 12 \\\3 & 17 \\\4 & 20 \\\5 & 22\end{array}$$ Assuming the quantity of capital (computers, adding machines, desks, etc.) remains constant at all output levels: a. Calculate the marginal product of each accountant. b. Over what range of employment do you see increasing returns to labor? Diminishing returns? c. Explain why \(M P L\) might behave this way in the context of an accounting firm.
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